Name _______________________________________ Date ___________________ Class __________________
Polygons and Quadrilaterals
Chapter Test Form B
Circle the best answer.
6. In
JKLM, what is the value of m K?
1. Which best describes the figure?
A regular convex heptagon
B irregular convex heptagon
C irregular concave heptagon
D irregular convex hexagon
2. What is the measure of each interior
angle in a regular convex nonagon?
F 40
H 180
G 140
J 1260
F 15
H 65
G 57
J 115
7. QR || ST . Which additional information is
NOT enough to conclude that QRST is a
parallelogram?
3. What is the value of a?
A RS || QT
C QR
B RS
D
QT
ST
Q
S
8. Which of the quadrilaterals MUST be
parallelograms?
A 2
C 180
B 90
D Not here
ABCD intersect at X.
4. The diagonals of
Which is always true?
F BX
XD
G AX
XB
H
A
J m A
5. In
H Neither A nor B
G B only
J Both A and B
9. Which is NOT always true?
D
m C
F A only
180
DEFG , what is EG ?
A The diagonals of a rectangle divide
the rectangle into four
nonoverlapping isosceles triangles.
B The diagonals of a square divide the
square into four nonoverlapping right
triangles.
C The longer diagonal of a rhombus is
perpendicular to two sides of the
rhombus.
A 25
C 50
B 30
D Not here
D The sum of the lengths of the
diagonals of a rhombus is less than
the perimeter of the rhombus.
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
Polygons and Quadrilaterals
Chapter Test Form B continued
10. WXYZ is a rectangle. Which is NOT an
expression for WT ?
14. In kite UVWX, m XUV 84 , and
m WVX 68 . What is m VWX?
F 5x
18
H 10x
12
F 22
H 44
G 7x
6
J 12x
10
G 42
J 45
11. Which set of numbers could be the
measures of DAB, ACB, and DBC,
respectively?
15. GE 5x 2 and DF
What is GE?
A 114 , 57 , 32.5
A 16
B 115 , 32.5 , 57.5
B 17
C 116 , 57.5 , 32.5
C 18
D 117 , 58.5 , 31.5
D 19
12. What additional information would allow
you to conclude that JKLM is a rhombus?
8x
7.
16. In trapezoid PQRS, if YX is the
midsegment, what could be the
lengths of PQ and SR ?
F JK || ML and JM || KL .
G JM
F 4 cm and 8 cm
JK
H JL and MK bisect each other.
J JL
MK
G 9 cm and 15 cm
H 17 cm and 31 cm
J 18 m and 30 m
13. Which is the best name for the
quadrilateral with vertices at (2, 2),
(5, 2), (1, 5), and ( 2, 1)?
A parallelogram C rhombus
B rectangle
D square
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
Polygons and Quadrilaterals
Chapter Test Form B
1. Name the polygon by its number of sides
and tell whether it is regular or irregular.
7. Write True or False. The quadrilateral
must be a parallelogram.
________________________________________
________________________________________
2. Find the measures of each interior angle
of a regular octagon.
8. Show that JKLM is a parallelogram for
x 7 and y 14.
________________________________________
3. Find the value of a.
________________________________________
________________________________________
________________________________________
________________________________________
4. Write a biconditional statement to define
the term parallelogram.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
5. ABCD is a parallelogram. Find AB and
BX.
________________________________________
9. Complete the sentence. A ________ is a
parallelogram that has the properties of
both a ________ and a ________.
________________________________________
________________________________________
6. EFGH is a parallelogram. Find m E.
10. ABCD is a rectangle with diagonals
BD and AC that intersect at X.
BD 12x 6 inches and
AX 4x 5 inches. Find DX.
________________________________________
________________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
Polygons and Quadrilaterals
Chapter Test Form B continued
11. RSTQ is a rhombus. Find m PST.
14. In kite JKLM, m LMN 25 , and
m LKN 43 . Find m MLK.
________________________________________
12. Given: WXYZ is a parallelogram.
WY and XZ bisect each other and
WY XZ.
Conclusion: WXYZ is a rectangle.
Determine whether the conclusion
is valid. If not, tell why not.
________________________________________
________________________________________
________________________________________
15. In trapezoid ABCD, find m A.
________________________________________
16. XY is the midsegment of trapezoid
ABCD. Find AB.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
13. Tell whether the parallelogram is a
rectangle, rhombus, or square.
________________________________________
________________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
52
Chapter Test Form B: Multiple Choice
1. C
9. C
2. G
10. J
3. A
11. D
4. F
12. G
5. C
13. D
6. H
14. H
7. B
15. B
50
5 2
The diagonals are congruent so by
Theorem 6-5-2, DEFG is a rectangle.
Chapter Test Form B: Free Response
slope of DF
1 0
2 ( 5)
1
7
slope of EG
2 3
1 ( 4)
5
5
1
(1)
7
1
1, so DF is not perpendicular
to EG.
1. irregular hexagon
So DEFG is not a rhombus and therefore
cannot be a square. DEFG is a rectangle.
2. 135
3. 120
4. A quadrilateral is a parallelogram if and
only if it has two pairs of parallel sides.
5. AB
( 5)2
30; BX
14. 112
15. 104
16. 48
25
6. 70
7. True
8. m J (9y 1) [9(14) 1]
127 ;
m L (10y 13)
[10(14) 13]
127 ; m K (7x 4) [7(7) 4]
53 ; Since 127
53 180 , K is
supplementary to both J and L. JKLM
is a parallelogram by Theorem 6-3-4.
9. square; rhombus; rectangle
10. 21 in.
11. 33
12. Not valid; possible answer: conditions for
a rectangle are 1 of a
is a rt.
or the diagonals of a
are . While
the quadrilateral is a
and a rhombus,
neither of the conditions for a rectangle
are met.
13. Sample answer:
DF
[2 ( 5)]2 + (1
72
EG
12
[1 ( 4)]2
50
0)2
5 2
[( 2) 3]2
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry